Answer:
The mean and standard deviation for the sample of z-score is 0 and 1 respectively.
Step-by-step explanation:
We are given a sample mean, M = 85
Standard Deviation, s = 12
Let be the sample.
Then, this sample can be transformed into z scores with the help of transformation:
This process is known as standardization.
Then, the mean of new obtained sample is 0 and the standard deviation is 1.
Answer:
63
Step-by-step explanation:
She finds her average resting heart rate to be 62 after 5 days.
That means, average of the 5 heart rate pulse=62
If the last day was 58 and all the other days were the same.
Let x be her pulse on the other days,
Then,
Her pulse on all the other days is 63.
Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
cups of milk make 10 servings
can also be written as 1.25
Ratio of cups of milk to servings = 1.25 : 10
1 gallon = 16 cups
Let,
x be the number of servings made from 1 gallon
Ratio of cups of milk to servings = 16 : x
This is a direct proportion
1.25 : 10 :: 16 : x
Product of mean = Product of extreme
10*16 = 1.25x
160 = 1.25x
1.25x=160
Dividing both sides by 1.25
Hence,
128 servings can be made using 1 gallon of milk.
Answer:
The probability that Isaiah will make both penalty kicks is 25%.
Step-by-step explanation:
We are given that Isaiah scores with 50% of his penalty kicks in soccer.
He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 penalty kicks
r = number of success = make both penalty kicks
p = probability of success which in our question is probability
that Isaiah scores with his penalty kicks, i.e; p = 50%
Let X = <u><em>Number of penalty kicks made by Isaiah</em></u>
So, X ~ Binom(n = 2 , p = 0.50)
Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)
P(X = 2) =
=
= <u>0.25 or 25%</u>
Hence, the probability that Isaiah will make both penalty kicks is 25%.